vii, 411 pages : 22 cm

Translation of La géométrie spontanée de l'enfant

Includes bibliographical references and index

Change of position -- Spontaneous movement -- Reconstructing relations of distance -- Change of position and the conservation of length -- The conservation and measurement of length -- Subdividing a straight line -- Locating a point in two and three dimensional space -- Angular measurement -- Two problems of geometrical loci : the straight line and the circle -- Representation of circles, mechanical and composite curves -- The conservation and measurement of an area and subtracting smaller congruent areas from larger congruent areas -- Subdivision of areas and the concept of fractions -- Doubling an area or a volume -- The conservation and measurement of volume -- The construction of Euclidean space : three levels

Translation of La geometrie spontanee de l'enfant

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